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Published byElvin Harkin Modified over 2 years ago

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Alge-Tiles an Overview

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x x2x2 y y2y2 xy 1 Set 1 Set 2

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x x2x2 y y2y2 xy 1 – x – x 2 – y –y2–y2 – xy –1 + = 0

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Adding Integers (+ 5) + (+ 7) = 12 +

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Adding Integers (– 5) + (– 7) = – 12 +

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Adding Integers 8 + (– 5) = + 3

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(– 2) – (– 4) Subtracting Integers + = 2 –

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(– 4) – (+ 6) Subtracting Integers = – 10 – +

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Multiplying Integers (2)(3) 6 (2)(–3) –6 (–2)(–3) 6

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x 2 + 2x + 4 Algebraic Expressions x 2 – 3x – 2 2x 2 – x + 2

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(4x + 5) + (2x – 3) Adding Polynomials = 6x + 2 +

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(5x + 2) – (3x – 4) Subtracting Polynomials = 2x + 6 – +

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3(x + 2) Multiplying Polynomials x Guiding tiles

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3(x + 2) Multiplying Polynomials 3x + 6

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x(x – 3) Multiplying Polynomials x – 3 x Guiding tiles

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x(x – 3) Multiplying Polynomials x 2 – 3x

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(x + 2)(x + 3) Multiplying Polynomials x + 2 x + 3 Guiding tiles

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(x + 2)(x + 3) Multiplying Polynomials x 2 + 5x + 6

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(x – 2)(x + 2) Multiplying Polynomials x – 2 x + 2

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(x – 2)(x + 2) Multiplying Polynomials

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(x – 2)(x + 2) Multiplying Polynomials x 2 – 4

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x 2 + 6x + 8 Factoring Polynomials x + 4 x + 2 x 2 + 6x + 8 = (x + 2)(x + 4) Form a rectangle

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Solving Equations: solve for x x + 3 = 8 x + 3 – 3 = 8 – 3

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Solving Equations: solve for x x + 3 = 8 x + 3 – 3 = 8 – 3 x = 5

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Solving Equations: solve for x 2x – 1 = 5 2x – = 5 + 1

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Solving Equations: solve for x 2x – 1 = 5 2x – = 5 + 1

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Solving Equations: solve for x 2x – 1 = 5 2x – = x = 3

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Solving Equations: solve for x 3x – 1 = x – 5

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Solving Equations: solve for x 3x – 1 = x – 5

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Solving Equations: solve for x 3x – 1 = x – 5 x = –2

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Check 3x – 1 = x – 5 x = –2 Both sides have seven white tiles. Substitute for

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